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Uniform estimates and blow-up analysis for the Emden exponential equation in any dimension

✍ Scribed by Bartolucci D., Leoni F., Orsina L.

Book ID
127403685
Year
2005
Tongue
English
Weight
291 KB
Category
Library

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Blow-up analysis, existence and qualitat
Blow-up analysis, existence and qualitative properties of solutions for the two-dimensional Emden–Fowler equation with singular potential
✍ Daniele Bartolucci; Eugenio Montefusco πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 196 KB πŸ‘ 1 views

## Abstract Motivated by the study of a two‐dimensional point vortex model, we analyse the following Emden–Fowler type problem with singular potential: where __V__(__x__) = __K__(__x__)/|__x__|^2Ξ±^ with α∈(0, 1), 0<__a__β©½__K__(__x__)β©½__b__< + ∞, βˆ€__x__∈Ω and βˆ₯βˆ‡__K__βˆ₯~∞~β©½__C__. We first extend var